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Finding the Fourth Proportional to 14,288.96, 21,403.56 and 9,068.96

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Solution

The fourth proportional to 14,288.96, 21,403.56 and 9,068.96 is: 13,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.96 : 21,403.56 = 9,068.96 : x
  2. Step 2: Convert to fraction form
    14,288.96/21,403.56 = 9,068.96/x
  3. Step 3: Cross multiply
    14,288.96x = 21,403.56 × 9,068.96
  4. Step 4: Simplify right side
    14,288.96x = 194,108,029.50
  5. Step 5: Solve for x
    x = 194,108,029.50/14,288.96
  6. Step 6: Final answer
    x = 13,584.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.